Answer :

Space

Answer:

m∠B ≈ 37°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Trigonometry

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Identify

Adjacent Leg = 4

Hypotenuse = 5

Step 2: Find Angle

  1. Substitute in variables [cosine]:                                                                     cosθ = 4/5
  2. [Equality Property] Trig inverse:                                                                    θ = cos⁻¹(4/5)
  3. Evaluate:                                                                                                         θ = 36.8699°
  4. Round:                                                                                                             θ ≈ 37°

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